33605 has 16 divisors (see below), whose sum is σ = 48384. Its totient is φ = 22080.

The previous prime is 33601. The next prime is 33613. The reversal of 33605 is 50633.

It is a happy number.

It is not a de Polignac number, because 33605 - 2² = 33601 is a prime.

It is a super-2 number, since 2×33605² = 2258592050, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33601) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 692 + ... + 738.

It is an arithmetic number, because the mean of its divisors is an integer number (3024).

2³³⁶⁰⁵ is an apocalyptic number.

It is an amenable number.

33605 is a deficient number, since it is larger than the sum of its proper divisors (14779).

33605 is a wasteful number, since it uses less digits than its factorization.

33605 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76.

The product of its (nonzero) digits is 270, while the sum is 17.

The square root of 33605 is about 183.3166659090. The cubic root of 33605 is about 32.2701734648.

The spelling of 33605 in words is "thirty-three thousand, six hundred five".